Indefinite theta series and generalized error functions

DOI10.1007/s00029-018-0444-9zbMath1420.11078arXiv1606.05495OpenAlexW2426322129MaRDI QIDQ1618264

Sibasish Banerjee, Boris Pioline, Jan Manschot, Sergei Yu. Alexandrov

Publication date: 13 November 2018

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.05495

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Theta series; Weil representation; theta correspondences (11F27)

Related Items (24)

Higher depth mock theta functions and \(q\)-hypergeometric series ⋮ Indefinite zeta functions ⋮ Theta series for quadratic forms of signature (n − 1,1) with (spherical) polynomials ⋮ Higher depth false modular forms ⋮ Siegel theta series for quadratic forms of signature \((m - 1, 1)\) ⋮ Quantum modular \(\widehat{Z}^G\)-invariants ⋮ Theta integrals and generalized error functions ⋮ S-duality and refined BPS indices ⋮ Higher depth quantum modular forms and plumbed 3-manifolds ⋮ Squashed toric manifolds and higher depth mock modular forms ⋮ Integral representations of rank two false theta functions and their modularity properties ⋮ Refinement and modularity of immortal dyons ⋮ Vafa-Witten invariants from exceptional collections ⋮ Siegel theta series for indefinite quadratic forms ⋮ A family of vector-valued quantum modular forms of depth two ⋮ Black holes and higher depth mock modular forms ⋮ On some incomplete theta integrals ⋮ Higher depth quantum modular forms, multiple Eichler integrals, and \(\mathfrak{sl}_3\) false theta functions ⋮ Three-manifold quantum invariants and mock theta functions ⋮ An exact formula for $\mathbf {U (3)}$ Vafa-Witten invariants on $\mathbb {P}^2$ ⋮ Vector-valued higher depth quantum modular forms and higher Mordell integrals ⋮ Vafa-Witten theory and iterated integrals of modular forms ⋮ A short note on higher Mordell integrals ⋮ Scaling black holes and modularity

Uses Software

• DLMF

Cites Work

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